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CAT 2025 Formula Sheet: Key Quantitative Aptitude Formulas for Success
Edited By Himanshu Shekhar | Updated on Jun 15, 2025 02:26 PM IST | #CAT
CAT 2025 Formula Sheet: Quantitative Aptitude is one of the most important yet difficult sections of the Common Aptitude Test. This section checks a candidate’s readiness and intelligence to solve complex Aptitude problems. The syllabus is announced by the authorities but the difficulty level of the CAT 2025 Quantitative Aptitude changes every year.
This Story also Contains
- Overview of CAT 2025 Quantitative Aptitude section
- Quantitative Aptitude Formulae for CAT 2025
- Why is a CAT 2025 Formulae Important?
- How to Use CAT 2025 Formulae Sheet for Exam Preparation?
- CAT 2025 Quantitative Aptitude Preparation
- CAT Preparation 2025 Important Books
Candidates need to have a strategic approach and proper preparation strategy to crack the QA section with high marks. One of the ways to do this is to keep a CAT 2025 Formula Sheet handy. It comprises of important formulas and can be used during practice.
Overview of CAT 2025 Quantitative Aptitude section
The CAT 2025 Quantitative Aptitude section is one of the most challenging sections of the MBA entrance exam. This is mainly due to the high difficulty level and tricky questions that are asked in it. Typically, there are questions from topics like algebra, arithmetic, geometry, and number systems. However, candidates can master these topics with the help of the CAT 2025 Formula Sheet.
Practising these formulas regularly helps to improve your speed in calculations and gain an edge over other candidates. Whether you are just starting to prepare for the CAT 2025 or getting ready for the final exam. It is important to make these quant formulas a key part of your study plan.
CAT 2025 Quantitative Aptitude Syllabus
The CAT Quantitative Aptitude Syllabus is one of the most crucial resources that candidates must keep handy before commencing their preparations. The CAT Syllabus 2025 consists of topics that are asked during the examination. Refer to the table below to get the updated CAT 2025 Quantitative Aptitude syllabus.
Arithmetic | 1. Percentage (Basics and related questions) 2. Ratios (Basics and related concepts i.e.Proportions and Variations ) 3. Averages (Basics and related concepts i.e. Mixture and Alligation ) 5. Simple Interest and Compound Interest (Questions related to Trains and Stream etc.) 7. Time & Work |
Number System | 1. Numbers and their classification i.e. Prime numbers, rational numbers, fractions, integers etc. 4. LCM & HCF related questions |
Geometry | 2. Triangles (area, similarity, congruency etc.) 3. Circles 4. Quadrilaterals (Rectangle, square, trapezium) 5. Mensuration (Area and volume of 2D and 3D figures) 6. Trigonometry 7. Co-ordinate Geometry |
Algebra | 1. Advance Linear Equations 2. Quadratic Equations, Inequalities & Modulus 3. Progression & Series (Arithmetic Progression, Geometric Progression, Harmonic Progression and Relation Between AM, GM and HM) 5. Logarithm |
Miscellaneous | 2. Probability |
Quantitative Aptitude Formulae for CAT 2025
Quantitative Aptitude formulas form the foundation of the Quantitative Aptitude section in the CAT 2025 exam. Here are some important CAT 2025 quant section-wise formulae for CAT 2025 preparation:
Arithmetic
The Arithmetic section is the most important section in the Quantitative Aptitude Section which is also useful to solve the D.I. problems. Following are some 50+ Important Formulas for CAT Preparation of this section which are given in this CAT Formula Sheet:
Percentage
Following are some Important CAT Formulas of this topic:
a. X is what percentage of Y = XY . 100%
b. X is what percentage is more/less than Y = Diff. between X & YY . 100%
c. If X is a% more than Y then, X = Y. (100 + a) %
d. If X is a% less than Y then, X = Y. (100 - a) %
Shortcut Formulas
Following are some formulas which can be used as CAT Quant Formula
Concept | Formula |
Successive percentage change | Overall % change in price = (x + y + x.y/100) % |
Changes in A when B and C are altered | Overall % change in A = (x + y + x.y/100) % |
Price increase followed by a decrease | Overall % change in price = -(x²/100) % |
Profit & Loss:
Following are some Important CAT Formulas of this topic:
Concept | Formula/Explanation |
Selling Price and Profit | S.P. = C.P. + Profit |
Selling Price and Loss | S.P. = C.P. – Loss |
Profit or Loss Percentage | Profit or Loss % = (Profit or Loss / C.P.) × 100% |
Discount Percentage | Discount % = (Discount / M.P.) × 100% |
Selling Price with Profit or Loss | S.P. = C.P. × (100 + Profit)% or C.P. × (100 – Loss)% |
Shortcut Formulas
Following are some formulas which can be used as Cat Quant Formula
Cheat Sheet for the preparation and exam point of view:
Concept | Formula/Explanation |
Profit or Loss with Markup and Discount | Overall profit or loss % = (m – d – m.d/100) % |
Simple Interest (S.I.) & Compound Interest (C.I.):
Following are some basic and Important Formulas for CAT 2025 related to this topic:
Concept | Formula/Explanation |
Simple Interest | S.I. = Principal (P) × Rate of Interest (R) × Time (T) / 100 = P × R × T / 100 |
Compound Interest (annually) | Amount = P × [1 + R/100]ⁿ (n = Time in years) |
Compound Interest (half-yearly) | Amount = P × [1 + R/(2 × 100)]²T |
Total Amount | Amount = Principal (P) + Interest |
Shortcut Formulas
Following are some formulas which can be used as Cat Quant Formula Cheat Sheet for the preparation and exam point of view:
Concept | Formula/Explanation |
Doubling Time with Compound Interest | Time to double = 72 / R years (R = annual interest rate) |
Example | If P = 2000 and R = 8%, time to double = 72 / 8 = 9 years |
Difference Between C.I. and S.I. (2 years) | C.I. – S.I. = P × [R / 100]² |
Difference Between C.I. and S.I. (3 years) | C.I. – S.I. = P × [R / 100]² × (3 + R / 100) |
Time, Speed & Distance:
Following are some basic and Important Formulas for CAT 2025 related to this topic:
Concept | Formula/Explanation |
Distance | Distance (D) = Speed (S) × Time (T) |
Average Speed | Average Speed = Total Distance / Total Time |
Trains:
Concept | Formula/Explanation |
Time for a train to cross a pole/person | Time = Length of Train (l) / Speed of Train (s) |
Time for a train to cross a platform/tunnel | Time = (Length of Train (l) + Length of platform/tunnel (d)) / Speed of Train (s) |
Time for trains to cross each other (same direction) | Time = (Length of Train-1 ($l_1$) + Length of Train-2 ($l_2$)) / Difference of Speeds ($s_1 - s_2$) |
Time for trains to cross each other (opposite direction) | Time = (Length of Train-1 ($l_1$) + Length of Train-2 ($l_2$)) / Sum of Speeds ($s_1 + s_2$) |
Boat & Streams:
Concept | Formula/Explanation |
Speed of Boat in Still Water | x kmph |
Speed of Stream/Water/Current | y kmph |
Travelling Time | t hr |
Distance (Downstream: same direction) | D = (x + y) × t km |
Distance (Upstream: opposite direction) | D = (x - y) × t km |
Clocks:
Concept | Formula/Explanation |
Speed of Hour Hand | 0.5° per minute |
Round covered by Hour Hand | 1 round = 360° in 12 hours or 720 minutes |
Speed of Minute Hand | 6° per minute |
Round covered by Minute Hand | 1 round = 360° in 1 hour or 60 minutes |
Angle between Hour and Minute Hands | θ = |112M-30H| |
Shortcut Formulas
Following are some Quantitative Aptitude Formulas which can be used as Cat Quant Formula Cheat Sheet for the preparation and exam point of view:
If the distance covered in each stage of journey is same, but speeds are different then, the average speed is the harmonic mean of the different speeds.
Ex: If distance between point A to B and B to C are same and are covered with the speed of $S_1$ and $S_2$ respectively. Then-
Average speed $=\frac{2}{\frac{1}{S_1} + \frac{1}{S_2}} = \frac{2S_1 S_2}{S_1 + S_2}$
If the time taken in each stage of journey is same, but speeds are different then, the average speed is the average of the different speeds.
CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
Download NowEx: If time taken between points A to B and B to C is same and these distances are covered with the speed of $S_1$ and $S_2$ respectively. Then-
Average Speed$ = \frac{S_1+S_2}{2}$
If two people start running on a circular track of length D km in the same direction from the same point with speeds a & b kmph, then-
(i) Time taken in first meeting = D/|a-b| hr.
(ii) Time taken to meet again at the starting point = LCM (D/a ,D/b)
(iii) No. of Distinct meeting Points = |x - y|
{x & y are the simplified ratio of speeds, Ex: If speeds a & b are 12 kmph & 9 kmph
respectively, then- x: y = 12: 8 = 3: 2; So, x = 3 & y =2}
If two people start running on a circular track of length D km in the opposite direction from the same point with speeds a & b kmph, then-
(i) Time taken in first meeting = D|a+b| hr.
(ii) Time taken to meet again at the starting point = LCM (Da ,Db) hr.
(iii) No. of Distinct meeting Points = |x + y|
{x & y are the simplified ratio of speeds}
If a person P starts from A and heads towards B and another person Q starts from B and heads towards A and they meet after a time 't' then, $t = \sqrt(x. y)$
[where x = time taken (after meeting) by P to reach B and y = time taken (after meeting) by Q to reach A]
If the speed of the boat downstream is u kmph and the speed of the boat upstream is v kmph, then-
Speed of the boat in still water = u + v2 kmph
Rate of stream = u- v2 kmph
Geometry
The Geometry section is the lengthiest section in the Quantitative Aptitude Section which has lots of properties and formulas. Following are 50+ Important Formulas for CAT Preparation of this section which are given in this CAT Formula Sheet:
1. Triangles:
Properties of Triangles:
The sum of all interior angles in a triangle is 180° and Exterior angles is 360°.
The sum of any two sides is always greater than the third one and the difference of any two sides is less than the third one.
Let a,b,c are the sides of triangles, then
|b-c| < a < b + c
In a Scalene Triangle the greatest side is always greater than the one-third of perimeter and less than half of the perimeter.
Let a,b,c are the sides of triangles and a is the greatest side of the triangle. The perimeter of the triangle is P.
P/3 < a < P/2
Ex: In a scalene triangle ABC, the perimeter of the triangle is 24 cm and all sides are integers.
Sol: Let a,b,c are sides of a triangle, and a is the greatest side.
24/3 < a < 24/2
8 < a < 12
So, all possible values are 9,10,11 cm.
Let a,b,c are sides of a triangle, and a is the greatest side.
If $a^2 < b^2 + c^2$ {Then triangle is an acute angled triangle}
If $a^2 = b^2 + c^2$ {Then triangle is a Right-angled triangle= Pythagoras theorem}
If $a^2 > b^2 + c^2$ {Then triangle is an Obtuse angled triangle}
(Here D is the midpoint of the AC side or AD = DC).
Length of the Median-
BD $= \frac{1}{2}X \sqrt2(AB^2 + BC^2) – AC^2$
3 (Sum of squares of sides) = 4 (Sum of squares of medians)
$3(a^2+b^2+c^2)=4M(a^2+b^2+c^2)$
{Where a,b,c are sides of triangle and Ma, Mb, Mc are medians of the triangle}
In a right-angle triangle, Median of Hypotenuse= Hypotenuse/2
CD = AB/2
If all the medians are drawn in the triangle, then the 6 small triangles are generated in the triangle, which are equal in the Area.
Area of Triangle:
Heron’s Formula
If all sides of a triangle are given. Let a,b,c are sides of triangle-
Area = √s(s-a)(s-b)(s-c) {s is the semi-perimeter. s = (a+b+c)/2}
If two sides and one included angle is given-
Area = ½ x Product of given sides x Sin(given included angle)
= ½ x a.b. SinC
{ex: sides a, b are given and included angle C is given}
If a side and its respective Altitude (perpendicular drawn on a side from the opposite vertex) is given, then-
Area of the triangle = ½ x Base x Height (Altitude)
Shortcut Formulas
Area of Equilateral Triangle = 34 a2
Height/Altitude of Equilateral Triangle = 32 a
Area of Triangle = Inradius (r) x semi-perimeter (s)
Area of Triangle = Product of sides of triangle/4 X Circumradius (R)
Quadrilaterals:
Trapezium
| Area = ½ x (Sum of Parallel Sides) x Height (perpendicular distance between parallel sides) = ½ x (AB + CD) X H |
Parallelogram
| 1. Opposite angles and sides are equal. 2. Diagonals bisect each other. 3. Sum of squares of diagonals$ = 2(a^2+b^2)$ 4. Area = Base x Height 5. Area = a.b.sinθ |
Rhombus
| 1. All sides and opposite angles are equal. 2. Diagonals bisect each other at 90 degree. 3. Sum of squares of diagonals$ = 4(a^2)$ 4. Area = ½ x Product of Diagonals 5. Perimeter = 4.a |
Rectangle | 1. Perimeter$ = 2(l+b)$ {l=length, b= breadth} 2. Area$= l.b$ 3. Length of diagonal$ = \sqrt(l^2 + b^2)$ |
Square | 1. Perimeter = 4a; {a= side of square} 2. Area $= a^2$ 3. Length of Diagonal = a.√2 |
Cyclic Quadrilateral
| 1. Sum of opposite angles$ = 180°$ 2. Area = $\frac{1}{2}$ x product of diagonals x $sinθ$ {where, θ is the angles between diagonals 3. Area $= \sqrt{(s-a) (s-b) (s-c) (s-d)}$ {where a,b,c,d are sides of cyclic quadrilateral and s is the semi perimeter} |
3. Circle:
Circumference of Circle $= 2πr$
Area of Circle$ = πr^2$
Semi-circle
Circumference of semi-circle$ = πr$
Perimeter of semi-circle$ = πr + 2r ${Circumference + Diameter}
Area of semi-circle $= \frac{πr^2}{2}$
Sector & Segment of circle
{OAXC is called the sector of the circle & AXC is called the segment}
Length of Arc AXC = 360. 2πr {r is the radius of circle}
Area of sector OAXC = $360. πr^2$
2 x Area of sector = length of arc x radius
Area of segment AXC = Area of sector OAXC – Area of triangle OAC
$A = 360\pi r^2 - \frac{1}{2}r^2 \sin \theta$
Common Tangent
PQ & RS are the direct common tangents of the circle, which are equal in length. Length of direct common tangent (L)-
$L_2 = d_2 – (r_1-r_2)2$
{d = distance between centers of circle, $r_1,r_2$ are radius of circle}
PQ & RS are the transverse common tangents of the circle, which are equal in length. Length of transverse common tangent (L)-
$L_2 = d_2 – (r_1+r_2)2$
{d = distance between centers of circle, $r_1,r_2$ are radius of circle}
Mensuration:
Cube {a- side of cube} | 1. Lateral Surface Area (L.S.A.)$ = 4.a^2$ 2. Total Surface Area (T.S.A.)$ = 6.a^2$ 3. Volume$ = a^3$ |
Cuboid {l-length, b-breadth, h-height} | 1. Lateral Surface Area (L.S.A.)$ = 2(l+b).h$ 2. Total Surface Area (T.S.A.)$ = 2(lb+bh+lh)$ 3. Volume$ = l.b.h$ |
Cylinder {r-radius of circular base, h-height} | 1. Curved Surface Area (C.S.A.)$ = 2πrh$ 2. Total Surface Area (T.S.A.)$ = 2πr(r+h)$ 3. Volume$ = πr^2.h$ |
Cone {r-radius of circular base, h-height, l- slant height} | 1. Curved Surface Area (C.S.A.)$ = πrl$ 2. Total Surface Area (T.S.A.)$ = πr(r+l)$ 3. Volume = $ \frac{1}{3} \pi r^2h$ |
Sphere {r-radius} | 1. Total Surface Area$ = 4πr^2$ 2. Volume$ = \frac{4}{3} \pi r^3$ |
Hemi-sphere {r-radius} | 1. Curved Surface Area (C.S.A.)$ = 2πr^2$ 2.Total Surface Area (T.S.A.)$ = 3πr^2$ 3. Volume$ = \frac{2}{3} \pi r^3$ |
Algebra
The Algebra section is a critical part of the Quantitative Aptitude section in the CAT exam. Below are over 50 important formulas for CAT preparation in this section, which are provided in this comprehensive CAT Formula Sheet:
1. Quadratic Equations
General Quadratic equation will be in the form of $??^2 + ?? + ? = 0$; Values of ‘x’ which satisfies the equation are called roots of the equation. To find the roots the Shreedhara Acharya's Formula is used.
Roots of the equation, $x = 12a(-b±b^2-4ac)$
Sum of the roots = -ba
Product of the roots = ca
Difference of the roots = Da {where $D = b^2-4ac$ }
If D > 0, Then roots of the equation will be real and distinct
{i. If D is perfect square, then roots will be rational; ex: x = 1,6
ii. If D is non-perfect square, then roots will be irrational or conjugate surds
ex: x = 3-√5, 3+√5}
If D = 0, Then roots of the equation will be real and equal.
If D < 0, Then roots of the equation will be imaginary and distinct.
$y = ax^2 + bx + c$; If a > 0
Minimum value of $y =-D^4a$ , when $x = -b^2a$
$y =ax^2 + bx + c$; If a < 0
Maximum value of $y =-D^4a$ , when $x = -b^2a$
If roots of the quadratic equation are a & b, then-
Quadratic Equation $= x^2 – S.x + P$; {where S = sum of roots; P= product of roots}
$= x^2 – (a+b).x + a.b$
Progression & Series
In this chapter there are three types of progression, which are-
Arithmetic Progression
Geometric Progression
Harmonic Progression
Arithmetic Progression (A.P.)
If a is the first term and d is the common difference then the A.P. can be written as-
$a, a+d, a+2d, a+3d$, ………………..
Nth term of the A.P. –
$T_n = a + (n-1).d$ {n is the no. of terms}
Sum of the n terms of the A.P. (Sn) = Average of all the terms x no. of terms(n)
Average of the terms can be found out easily
If no. of terms is odd then the middle term will be the average
Ex: 2,5,8,11,14 are the terms of the A.P. then middle term 8 is the average
So, the sum = avg. x n = 8 x 5 = 40
If no. of terms is even then the average of middle terms will be the average of the A.P.
$S_n = \frac{n}{2} [2a+(n-1)d]$
Shortcut Formulas
$S_n = \frac{n}{2} (a+l)$ {where a = first term, l = last term, n= no. of terms}
No. of terms in A.P.
$n = (l-a)d+1$
Geometric Progression (G.P.)
If a is the first term and r is the common ratio then the G.P. can be written as-
$a, a.r, a.r^2, a.r^3,$ ……………….
$N$th term of the G.P. –
$T_n = a.r^{n-1}$ {n is the no. of terms}
Sum of n terms of the G.P.-
$S_\infty = \frac{a}{1 - r}$ \quad if $|r| < 1$
If $r < 1$:
$S_n = a \cdot \frac{1 - r^n}{1 - r}$
If $r > 1$:
$S_n = a \cdot \frac{r^n - 1}{r - 1}$
Sum of infinite terms of the G.P.-
S∞ = a1-r; If |r| < 1
Shortcut Formulas
If there are odd no. of terms in a G.P., then the product of all terms are equal to the nth power of the middle term.
e.g. 2,6,18,54,162 are the terms of a G.P.
Then the products of all the terms = 185
Harmonic Progression (H.P.)
If a,b,c are in A.P. then $\frac{1}{a}, \frac{1}{b}, \frac{1}{c}$ will be in the H.P.
$N$th term of the H.P.= $\frac{1}/{N}$th term of the A.P.
Series
Sum of first $n$ natural numbers:
$1 + 2 + 3 + \cdots + n = \frac{n(n+1)}{2}$
Sum of squares of first $n$ natural numbers:
$ 1^2 + 2^2 + 3^2 + \cdots + n^2 = \frac{n(n+1)(2n+1)}{6}$
Sum of cubes of first $n$ natural numbers:
$1^3 + 2^3 + 3^3 + \cdots + n^3 = \left( \frac{n(n+1)}{2} \right)^2$
Sum of first $n$ natural odd numbers:
$1 + 3 + 5 + \cdots + (2n - 1) = n^2$
Sum of squares of first $n$ even numbers:
$2^2 + 4^2 + 6^2 + \cdots + (2n)^2 = \frac{2n(n+1)(2n+1)}{3}$
Sum of squares of first $n$ odd numbers:
$1^2 + 3^2 + 5^2 + \cdots + (2n - 1)^2 = \frac{n(2n+1)(2n-1)}{3}$
Indices & Surds
Product Rule: $a^m \cdot a^n=a^{m+n}$
Quotient Rule: $\frac{a^m}{a^n}=a^{m-n}$
Power of a Power: $\left(a^m\right)^n=a^{m n}$
Power of a Product: $(a b)^n=a^n \cdot b^n$
Power of a Quotient: $\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
Negative Exponent: $a^{-n}=\frac{1}{a^n}$
Shortcut Formulae
$\prod_{n=1}^{\infty} a=\lim _{n \rightarrow \infty} a^n$
Logarithm
Definition of Logarithm: $\log _b a=x \Longleftrightarrow b^x=a$
Log of 1 : $\log _b 1=0 \quad(\text { for any base } b>0, b \neq 1)$
Log of the base itself: $\log _b b=1$
Log of a product: $\log _b(m n)=\log _b m+\log _b n$
Log of a quotient: $\log _b\left(\frac{m}{n}\right)=\log _b m-\log _b n$
Log of a power:
$\log _b\left(m^n\right)=n \cdot \log _b m$
Change of base formula:
$\log _b a=\frac{\log _k a}{\log _k b}$
(commonly used with base 10 or base $e$ )
Base switch rule:
$\log _a b=\frac{1}{\log _b a}$
Why is a CAT 2025 Formulae Important?
CAT 2025 Formulae is crucial for MBA exam preparation as it compiles essential mathematical formulas and concepts, streamlining study efforts and enhancing exam readiness. This resource not only aids in quick recall but also fosters a deeper understanding of quantitative topics.
A consolidated formula PDF for CAT allows for focused study sessions. It also reduces the time spent searching for formulas across various resources.
Regular use of the CAT formula PDF helps in developing quick problem-solving techniques. This is essential for tackling the time constraints of the CAT exam.
A CAT formula sheet helps candidates to do quick revisions before the examination.
Familiarity with formulas leads to fewer mistakes during the exam. This boosts both confidence and accuracy before the examination.
Understanding which formulas are most relevant helps candidates prioritise questions. This leads to a more strategic approach and helps in maximising their scores.
How to Use CAT 2025 Formulae Sheet for Exam Preparation?
A CAT 2025 formula sheet is an advanced tool for precision-driven preparation, enabling strategic revision and targeted practice. Read on to know about the ways in which you can use CAT 2025 formula PDF for examination.
Dedicate specific time slots each day to review and recite formulas. This reinforces memory retention and ensures familiarity with key concepts.
Pair each formula with example problems to understand its application. This enhances comprehension and enables quicker recall during the exam.
Use the formula sheet while attempting CAT 2025 mock tests. This allows for real-time application and helps to identify areas needing further practice.
Create visual aids or mind maps from the formula sheet to connect related concepts, facilitating deeper understanding and quicker retrieval during problem-solving.
Refine the formula sheet regularly by adding new insights, shortcuts, or variations encountered during practice.
CAT 2025 Quantitative Aptitude Preparation
Whether you're reviewing concepts or tackling practice problems, having a CAT formulas cheat sheet at your fingertips provides immediate access to vital quantitative formulas. This resource is essential for streamlining your preparation, as it gathers all necessary CAT 2025 quant formulae enhancing both efficiency and effectiveness.
Careers360 has developed a comprehensive ebook featuring the top 100 facts. It helps candidate by boosting their preparation for the CAT 2025 quantitative aptitude section. It also contains essential formulas relevant to the CAT QA section. Candidates can download and study this ebook for effective CAT Quantitative Aptitude 2025 exam preparation.
Title | Link |
100 Quant Facts Every CAT Aspirant Must Know |
CAT Preparation 2025 Important Books
Choosing the right set of books during CAT preparation 2025 is very essential to excel in the examination. These books offer conceptual clarity for different topics and also provide ample practice questions. Here is a list of important books on CAT 2025 Quantitative Aptitude.
CAT Quantitative Aptitude Books | |
Book Title | Author |
How to Prepare for Quantitative Aptitude for the CAT | Arun Sharma |
NCERT Mathematics Books (Class 6 to 10) | NCERT |
Quantitative Aptitude Quantum CAT | Sarvesh Sharma |
Quantitative Aptitude for Competitive Examinations | Abhijit Guha |
Frequently Asked Questions (FAQs)
1. How do I start my CAT preparation for 2025?
For CAT preparation 2025, candidates must start their preparation with proper analysis and understanding of the CAT exam pattern and syllabus. They should devise the CAT study plan and focus on important topics to cover them within the stipulated time.
2. Is 1 month enough for CAT preparation?
CAT preparation requires a significant amount of time to prepare. However, candidates can prepare the CAT exam syllabus within 1 month if the right strategy and determination are executed.
3. What is the formula for probability in CAT?
CAT Probability or Chance: Probability is a quantitative measure of the likelihood of a particular event occurring. $PE=n(E)/n(S)$, where n(E) = number of favorable events; n(S) = sample space.
4. What is the important formula for percentage in CAT exam?
Important percentage formulas for CAT exam are:
- Increase N by S% = N(1+S/100)
- Decrease N by S% = N(1 - S/100)
- Percentage Change=(New Value−Old Value/Old Value)×100
5. How can I effectively memorize the important formulas for CAT?
Use flashcards, practice problems, and regular revision to reinforce memory and understanding of key formulas.
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Dear Aspirant
Your rank at eleven thousand eight hundred eighty seven under the OBC reservation has a strong chance for admission to the Computer Science Engineering (CSE) program at one of the three CUSAT campuses The exact seat depends on opening and closing ranks for CSE in each campus and the round of counselling
CUSAT campuses offering BTech CSE
• School of Engineering Thrikkakkara – flagship campus in Kochi
• CUCEK Kuttanad – second campus in Alappuzha district
• Lakeside campus does not offer CSE so only two campuses are relevant
Previous closing ranks under OBC quota for CSE
• Thrikkakkara campus closed near rank one thousand
• CUCEK Kuttanad closed around six thousand two hundred in 2024
Your likelihood with rank 11887
• Thrikkakkara campus is unlikely as CSE closes much lower than your rank
• CUCEK has potential since closing ranks in recent years have extended into the high six thousands
• Seats may remain open in later rounds so you may gain admission at CUCEK
Other CSE seat possibilities under OBC
• School of Engineering might open seats in spot or mop up rounds if higher ranked students do not confirm
• CUCEK will likely accept OBC candidates up to rank one two thousand to thirteen thousand
• Keep an eye on real time counselling as closing ranks may shift downward with seat cancellations
Alternative branches and campuses
If CSE is not available at CUCEK you may consider similar branches like Electronics and Communication Engineering Information Technology Mechanical Engineering and Civil Engineering closing beyond twelve thousand under OBC
You may also add interdisciplinary programs or lateral entry courses available in Lakeside or Thrikkakkara depending on available seats
Counselling strategy recommendations
• Register and fill choices on the CUSAT admissions portal in all counselling rounds
• Place CUCEK CSE as a high preference followed by ECE or IT at Thrikkakkara or CUCEK
• Monitor round wise closing ranks through the portal or official communications
• Participate in mop up and spot rounds where seats are more likely available near your rank
Key considerations
• Cutoffs decrease between rounds allowing more opportunities in later phases
• OBC candidates compete within their category reducing competition compared to open rankings
• CUCEK is your best target campus for CSE at your rank under OBC
• You must have all documents ready like previous marksheet category certificate and CUSAT admit card for verification
Let me know if you would like a suggested list of choices tailored to your academic interest or want help tracking counselling round data
Swati 12 June,2025
Hi aspirant,
- In general, PUMBA (Pune University's Department of Management Sciences) requires a higher CAT percentile, usually between 94 and 96.
- Nevertheless, final selection is based on a comprehensive process that includes your CAT score (which usually carries 50% weightage), performance in the Group Discussion (GD) and Personal Interview (PI) rounds (30% weightage), academic record (10% weightage), and work experience (10% weightage).
- Even though your CAT score is strong, a strong performance in the subsequent selection rounds will be essential for admission.
- It is recommended to contact the institution directly for latest and up-to-date information.
You can refer to the link attached above for more information on the same.
All the best!
Rajeswari Dey 27 May,2025
Hi aspirant,
- Vadodara is an MHT CET exam center located outside of Maharashtra .
- This makes it easier for Gujarati applicants to take the exam.
- When completing your MHT CET application form, you will have the option of selecting your chosen exam centers , including those situated outside of Maharashtra.
You can refer to the link given above for more information on the same.
All the best!
Rajeswari Dey 25 May,2025
Hello dear,
The CAT exam requires a significant amount of time for preparation, including brushing up on basic concepts and practicing advanced problem-solving. Starting too early can feel overwhelming and may not be sustainable with other academic commitments.
The CAT exam requires a level of focus and maturity that is not always present in class 9. Starting preparation at this stage can be challenging to maintain. At class 9, you're primarily focused on learning foundational concepts. So you just need to boost your fundamentals by practicing more and more at class 9 because the Quantitative Aptitude section of CAT syllabus includes all the topics of Mathematics from Class 9 to 10 such as Arithmetic, Geometry, Algebra, Trigonometry and Mensuration.
Start Preparation 12 Months Prior:
- Begin your CAT preparation around 12 months before the exam date.
- Dedicate 5 to 6 hours daily for studying, focusing on smart work rather than just hard work.
Identify Weak Sections:
- Recognize your weak section at the start of your preparation.
- Allocate more time and attention to improving your weak areas while maintaining practice in all sections
I hope you got your answer, That's all Thank you.
Rajeswari 22 May,2025
IIFT CAT Cutoff 2024
IIFT Delhi
General: 95–98 percentile
OBC: 90+
SC: 85–95
ST/PwD: 75–93
IIFT Kolkata
General: 85–95 percentile
OBC/SC/ST: 50–95 (varies)
Note: Final selection also includes WAT, GD, PI, academics, and work experience.
harsh singh 21 May,2025
Popular CAT Questions
Directions for question :
M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.
Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.
The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :
It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired.
Question :
In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?
Option: 1
September 2020
Option: 2
May 2021
Option: 3
January 2021
Option: 4
January 2022
Directions for question:
The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :
Question:
What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?
Option: 1 None
Option: 2 None
Option: 3 None
Option: 4 None
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